Linear programming interpretations of Mather's variational principle
نویسندگان
چکیده
منابع مشابه
Linear Programming Interpretations of Mather’s Variational Principle
We discuss some implications of linear programming for Mather theory [Mt1-2], [M-F] and its finite dimensional approximations. We find that the complementary slackness condition of duality theory formally implies that the Mather set lies in an n–dimensional graph and as well predicts the relevant nonlinear PDE for the “weak KAM” theory of Fathi [F1-3], [E-G]. In memory of Professor Jacques–Loui...
متن کامل$(varphi_1, varphi_2)$-variational principle
In this paper we prove that if $X $ is a Banach space, then for every lower semi-continuous bounded below function $f, $ there exists a $left(varphi_1, varphi_2right)$-convex function $g, $ with arbitrarily small norm, such that $f + g $ attains its strong minimum on $X. $ This result extends some of the well-known varitional principles as that of Ekeland [On the variational principle, J. Ma...
متن کاملVariational Principle for Linear Relaxation Relations
1. Recently Waldmann pointed out that linear transport relaxation equations can be derived from a variational principle, if certain time reversal symmetries hold [1]. He postulated an action with a quadratic Lagrangian, which implies by its extremum the relaxation equations as its EulerLagrange equations. In the following i) the relation of Waldmann's action to the Onsager-Machlup [2] theory is...
متن کاملComputational Interpretations of Markov's principle
In this thesis we are concerned with Markov’s principle, a statement that originated in the Russian school of Constructive Mathematics and stated originally that “if it is impossible that an algorithm does not terminate, then it will terminate”. This principle has been adapted to many diUerent contexts, and in particular we are interested in its most common version for arithmetic, which can be ...
متن کاملVariational Principle
Variational principle for probabilistic learning Yet another justification More simplification of updates for mean-field family Examples Dirichlet Process Mixture On minimization of divergence measures Energy minimization justifications Variational learning with exponential family Mean parametrization and marginal polytopes Convex dualities The log-partition function and conjugate duality Belie...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: ESAIM: Control, Optimisation and Calculus of Variations
سال: 2002
ISSN: 1292-8119,1262-3377
DOI: 10.1051/cocv:2002030